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We consider the hedging error of a derivative due to discrete trading in the presence of a drift in the dynamics of the underlying asset. We suppose that the trader wishes to find rebalancing times for the hedging portfolio which enable him…

概率论 · 数学 2014-07-18 Jiatu Cai , Masaaki Fukasawa , Mathieu Rosenbaum , Peter Tankov

We investigate an optimal reinsurance problem for an insurance company facing a constant fixed cost when the reinsurance contract is signed. The insurer needs to optimally choose both the starting time of the reinsurance contract and the…

数理金融 · 定量金融 2021-01-14 Matteo Brachetta , Claudia Ceci

This article examines arbitrage investment in a mispriced asset when the mispricing follows the Ornstein-Uhlenbeck process and a credit-constrained investor maximizes a generalization of the Kelly criterion. The optimal differentiable and…

最优化与控制 · 数学 2008-12-02 Vladislav Kargin

A general time-inconsistent optimal control problem is considered for stochastic differential equations with deterministic coefficients. Under suitable conditions, a Hamilton-Jacobi-Bellman type equation is derived for the equilibrium value…

最优化与控制 · 数学 2012-04-04 Jiongmin Yong

We consider an optimal investment and consumption problem for a Black-Scholes financial market with stochastic volatility and unknown stock appreciation rate. The volatility parameter is driven by an external economic factor modeled as a…

投资组合管理 · 定量金融 2015-05-15 Belkacem Berdjane , Sergei Pergamenshchikov

We study the optimal investment-consumption problem for a member of defined contribution plan during the decumulation phase. For a fixed annuitization time, to achieve higher final annuity, we consider a variable consumption rate. Moreover,…

投资组合管理 · 定量金融 2020-08-18 Hassan Dadashi

In this paper we present a dynamic programing approach to stochastic optimal control problems with dynamic, time-consistent risk constraints. Constrained stochastic optimal control problems, which naturally arise when one has to consider…

最优化与控制 · 数学 2015-11-24 Yin-Lam Chow , Marco Pavone

We study the problem of optimal risk policies and dividend strategies for an insurance company operating under the constraint that the timing of shareholder payouts is governed by the arrival times of a Poisson process. Concurrently, risk…

最优化与控制 · 数学 2025-02-19 Mark Kelbert , Harold A. Moreno-Franco

We reconsider the study of optimal dividend strategies in the Cram\'er-Lundberg risk model. It is well-known that the solution of the classical dividend problem is in general a band strategy. However, the numerical techniques for the…

最优化与控制 · 数学 2022-07-05 Hansjörg Albrecher , Brandon García Flores

This is a follow up of our previous paper - Trybu{\l}a and Zawisza \cite{TryZaw}, where we considered a modification of a monotone mean-variance functional in continuous time in stochastic factor model. In this article we address the…

投资组合管理 · 定量金融 2014-04-23 Jakub Trybuła , Dariusz Zawisza

We consider the problem of maximizing expected utility for a power investor who can allocate his wealth in a stock, a defaultable security, and a money market account. The dynamics of these security prices are governed by geometric Brownian…

投资组合管理 · 定量金融 2014-06-04 Agostino Capponi , Jose Enrique Figueroa Lopez , Andrea Pascucci

This paper considers an insurance company that faces two key constraints: a ratcheting dividend constraint and an irreversible reinsurance constraint. The company allocates part of its reserve to pay dividends to its shareholders while…

最优化与控制 · 数学 2025-12-22 Tim J. Boonen , Engel John C. Dela Vega

We investigate the problem of optimal dividend distribution for a company in the presence of regime shifts. We consider a company whose cumulative net revenues evolve as a Brownian motion with positive drift that is modulated by a finite…

综合金融 · 定量金融 2011-04-20 Zhengjun Jiang , Martijn Pistorius

In this paper we study the problem of optimal dividend payment strategy which maximizes the expected discounted sum of dividends to a multidimensional set up of n associated insurance companies where the surplus process follows an…

最优化与控制 · 数学 2018-10-04 Pablo Azcue , Nora Muler

In this paper, we investigate an interesting and important stopping problem mixed with stochastic controls and a \textit{nonsmooth} utility over a finite time horizon. The paper aims to develop new methodologies, which are significantly…

最优化与控制 · 数学 2015-07-06 Chonghu Guan , Xun Li , Zuoquan Xu , Fahuai Yi

Stochastic optimal control problems with constraints on the probability distribution of the final output are considered. Necessary conditions for optimality in the form of a coupled system of partial differential equations involving a…

最优化与控制 · 数学 2022-03-10 Samuel Daudin

This paper studies the optimal dividend problem with capital injection under the constraint that the cumulative dividend strategy is absolutely continuous. We consider an open problem of the general spectrally negative case and derive the…

数理金融 · 定量金融 2018-06-12 José-Luis Pérez , Kazutoshi Yamazaki , Xiang Yu

Merton portfolio management problem is studied in this paper within a stochastic volatility, non constant time discount rate, and power utility framework. This problem is time inconsistent and the way out of this predicament is to consider…

投资组合管理 · 定量金融 2024-02-09 Oumar Mbodji , Traian A. Pirvu

In this paper, we study a time-inconsistent stochastic optimal control problem with a recursive cost functional by a multi-person hierarchical differential game approach. An equilibrium strategy of this problem is constructed and a…

最优化与控制 · 数学 2016-06-13 Qingmeng Wei , Jiongmin Yong , Zhiyong Yu

This study investigates an optimal investment problem for an insurance company operating under the Cramer-Lundberg risk model, where investments are made in both a risky asset and a risk-free asset. In contrast to other literature that…

数理金融 · 定量金融 2024-06-25 J. Cerda-Hernandez , A. Sikov , A. Ramos